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Finding the Fourth Proportional to 2,794.25, 4,190.28 and 1,014.83

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Solution

The fourth proportional to 2,794.25, 4,190.28 and 1,014.83 is: 1,521.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.25 : 4,190.28 = 1,014.83 : x
  2. Step 2: Convert to fraction form
    2,794.25/4,190.28 = 1,014.83/x
  3. Step 3: Cross multiply
    2,794.25x = 4,190.28 × 1,014.83
  4. Step 4: Simplify right side
    2,794.25x = 4,252,418.52
  5. Step 5: Solve for x
    x = 4,252,418.52/2,794.25
  6. Step 6: Final answer
    x = 1,521.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.